重庆理工大学学报(自然科学版)
重慶理工大學學報(自然科學版)
중경리공대학학보(자연과학판)
JOURNAL OF CHONGQING INSTITUTE OF TECHNOLOGY
2014年
10期
126-130
,共5页
钱庆庆%吴涛%宋雷%许文浩
錢慶慶%吳濤%宋雷%許文浩
전경경%오도%송뢰%허문호
群决策%时序模糊软矩阵%时序模糊加权几何平均算子%平均绝对离差
群決策%時序模糊軟矩陣%時序模糊加權幾何平均算子%平均絕對離差
군결책%시서모호연구진%시서모호가권궤하평균산자%평균절대리차
group decision-making%time-series fuzzy soft matrix%time-series fuzzy weighted geomet-ric average operator%mean absolute deviation
研究了时序模糊软集的群决策问题,针对实际问题中模糊软集的信息随时间动态变化对最终决策的影响不同,将这类影响量化为时间权重,根据各对象保持前一时刻状态的能力不同,造成对象集整体在不同时刻状态有所差异,得到权重值;并利用集成思想,通过时序模糊几何加权平均算子将时序模糊软集集成为综合模糊软集;再利用水平软集等工具计算各对象的机会值,得出最优决策。最后,给出具体的时序模糊软集的群决策步骤,并通过实例验证了决策方法的合理性及可行性。
研究瞭時序模糊軟集的群決策問題,針對實際問題中模糊軟集的信息隨時間動態變化對最終決策的影響不同,將這類影響量化為時間權重,根據各對象保持前一時刻狀態的能力不同,造成對象集整體在不同時刻狀態有所差異,得到權重值;併利用集成思想,通過時序模糊幾何加權平均算子將時序模糊軟集集成為綜閤模糊軟集;再利用水平軟集等工具計算各對象的機會值,得齣最優決策。最後,給齣具體的時序模糊軟集的群決策步驟,併通過實例驗證瞭決策方法的閤理性及可行性。
연구료시서모호연집적군결책문제,침대실제문제중모호연집적신식수시간동태변화대최종결책적영향불동,장저류영향양화위시간권중,근거각대상보지전일시각상태적능력불동,조성대상집정체재불동시각상태유소차이,득도권중치;병이용집성사상,통과시서모호궤하가권평균산자장시서모호연집집성위종합모호연집;재이용수평연집등공구계산각대상적궤회치,득출최우결책。최후,급출구체적시서모호연집적군결책보취,병통과실례험증료결책방법적합이성급가행성。
Group decision-making problems based on times-series fuzzy soft set have been investiga-ted. For the situation that fuzzy soft sets information dynamic change as time has different effect on fi-nal decision,there have been quantified these effects to time weights and obtained them by optimiza-tion programming model. With aggregating thought,the time-series fuzzy soft sets have been aggrega-ted into collective fuzzy soft by time-series fuzzy weighted geometric average operator. The optimal de-cision can be obtained by calculating choice value of objects with the level soft set. Finally,the group decision making approach based on time-series fuzzy soft sets has been proposed and a practical exam-ple has been analyzed to verify the reasonability and feasibility of the approach.